Show that the variance of a gamma distribution with parameters and is 2 .

Question:

Show that the variance of a gamma distribution with parameters α and β is αβ².

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

See More Books

Question Posted: Apr 12, 2021 04:58 AM

See More Questions

(a) If X has a gamma distribution with parameters (t, ), what is the distribution of cX, c > 0? (b) Show that has a gamma distribution with parameters n, when n is a positive integer and 22n is a...
Show that the variance of the finite population {c1, c2, . . . , cN} can be written as Also, use this formula to recalculate the variance of the finite population of Exercise 8.16. i=1
Show that the variance of N g as given by (10.145) is N 0 T b . -TB 2n(t)c(t) cos(@,t + 0)dt (10.145) Ng
8. Explain how electric forces are like gravitation forces and how they differ.
What is the IEPR? How does it relate to the monopolist's profit-maximizing condition, MR = MC?
The financial condition of White Inc. is expressed in the following accounting equation: Assets = Liabilities + Common stock + Retained earnings $800 Cash + $9,200 Land = $7,000 + $2,000 + $1,000...
Cat Auto Tech. Corp. purchased 10,000 gift certificates from DeJesus. Cat Auto Tech. Corp., an Amoco gasoline station operator, contracted with DeJesus to make 10,000 gift certificates of various...
In response to a growing awareness of gluten allergies, Singletary Cookie Company tried using gluten-free flour in its three most popular cookies. After several attempts and a lot of inedible...
4. Consider that you are a manager at a local Chick-fil-a. You have been approved for a loan to make improvements to your store. Provide examples of costs/receipts for the variables we covered in...
The complexity and uniqueness of the federal government makes it difficult to conduct a meaningful analysis of its financial condition. However, conducting a financial statement analysis does provide...
Let Y have an exponential distribution with mean . Show that P (Y > a) = e -/ .
Reaction to tear gas. The length of time Y (in minutes) required to generate a human reaction to tear gas formula A has a gamma distribution with = 2 and = 2. The distribution for formula B is also...
Plot the mean tensile strengths observed for each chemical type in Problem 4-1 and compare them to an appropriately scaled t distribution. What conclusions would you draw from this display? Problem...
Find the coefficient A by normalizing the wave function Y = A (1-21) 2
Given the that a size of int is 4, the size of char is 1, and variable X is at location 2344. What address does Y hold? int X 3; int *V (int *)((char *) (&X + 2) 3) - 1;
The class Cashier generates an Order. Its takeOrder method accepts user input from the keyboard to generate the Order. This is a sample run (the user inputs are underlined ): Welcome! The interface...
Given the following java class called Parcel Delivery. class Parcel Delivery { private int[] b; public Parcel Delivery(int n) { b = new int[n]; for (int i = 0; i
why is picric acid a good direct dye for silk and wool but not for cotton.
If methionine is the first amino acid incorporated into a heptapeptide, what is the sequence of the amino acids encoded for by the following stretch of mRNA? 5-G-C-A-U-G-G-A-C-C-C-C-G-U-U-A-U-...
How do the principles of (a) Physical controls and (b) Documentation controls apply to cash disbursements?
Let X1, X2,..., Xn be a random sample from a continuous probability distribution having median m, (so that P(Xi ¤ µÌ) = P(Xi ¥ µÌ) = .5). a. Show that So that...
Let X1, X2,..., Xn be a random sample from a uniform distribution on the interval [0, Ã¸], so that Then if Y = max (Xi), it can be shown that the rv U = Y/Ã¸ has density...
On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally distributed with = 100. The composition of bars has been slightly...
QUESTION 4 The Sylacauga Kiwanis Club puts on a Pancake Day every year. The Kiwanis Club uses the naive method to forecast pancake sales for this annual event. If sales amounted to 1633 pancakes in...
What is the answer and explanation: Consider the following forecast results. Calculate MFE, MAD, and MAPE, using the data for the months January through June. Does the forecast model under- or...
Research using 10k reports and calculate the following for UPS in the year 2021 and 2022. Return on investments, return on total assets, return on equity, operating profit margin, asset turnover,...

Show that the variance of a gamma distribution with parameters and is 2 .

Question:

Step by Step Answer:

We know that Ex fxxxfx dx For a gammas random variables ...View the full answer

Statistics For Engineering And The Sciences

Students also viewed these Engineering questions